13481220480 has 1024 divisors, whose sum is σ = 57905971200. Its totient is φ = 2587852800.

The previous prime is 13481220479. The next prime is 13481220481. The reversal of 13481220480 is 8402218431.

It is an interprime number because it is at equal distance from previous prime (13481220479) and next prime (13481220481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13481220481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102910015 + ... + 102910145.

It is an arithmetic number, because the mean of its divisors is an integer number (56548800).

Almost surely, 2^13481220480 is an apocalyptic number.

13481220480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13481220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28952985600).

13481220480 is an abundant number, since it is smaller than the sum of its proper divisors (44424750720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13481220480 is a wasteful number, since it uses less digits than its factorization.

13481220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 13481220480 in words is "thirteen billion, four hundred eighty-one million, two hundred twenty thousand, four hundred eighty".